/* W446: the global ST header, page title and footer are retained. */
#st334Content:has(#orbit446){width:86.5%;max-width:1120px;padding-left:0;padding-right:0}
#st334Content:has(#orbit446)>.st-master-intro{display:none}
#orbit446{--ink:#000066;--text:#4c6694;--muted:#6d80a0;--line:#ccddf0;--paper:#fff;--soft:#f4f8ff;--blue:#0768ff;--result:#e3ffeb;--result-end:#d6ffe5;--result-ink:#064d2e;--result-line:#97e5b3;font:14px/1.45 Arial,Helvetica,sans-serif;color:var(--text);background:var(--paper)}
#orbit446 *{box-sizing:border-box}#orbit446 [hidden]{display:none!important}#orbit446 h2,#orbit446 h3{color:var(--ink);line-height:1.25;margin:0 0 12px;font-weight:700;letter-spacing:-.35px}#orbit446 h2{font-size:20px}#orbit446 h3{font-size:17px}#orbit446 p{margin:8px 0}#orbit446 a{color:var(--blue);text-decoration:none}#orbit446 a:hover{text-decoration:underline}#orbit446 button,#orbit446 input,#orbit446 select{font:inherit;touch-action:manipulation}#orbit446 button{border:1px solid #92baff;background:var(--paper);border-radius:4px;color:var(--blue);padding:8px 12px;cursor:pointer;line-height:1.3}#orbit446 button:hover{background:var(--soft);border-color:var(--blue)}#orbit446 button.primary,#orbit446 button.selected{background:#0768ff;border-color:#0768ff;color:#fff}#orbit446 button:disabled{cursor:not-allowed;opacity:.5}#orbit446 :is(button,input,select,a,summary):focus-visible{outline:3px solid #87baff;outline-offset:3px}#orbit446 img{display:block;max-width:100%;object-fit:contain}#orbit446 input,#orbit446 select{color:var(--ink);background:var(--paper);border:1px solid var(--line);border-radius:4px;width:100%;min-width:0;padding:8px 9px;height:36px;font-size:13px}#orbit446 input[aria-invalid=true]{border-color:#b42e38}#orbit446 label{color:var(--ink);font-weight:600;font-size:13px}#orbit446 .intro{margin:2px 0 14px;font-size:15px;color:var(--ink)}#orbit446 .hint{font-size:11px;line-height:1.45;color:var(--muted)}#orbit446 .reference-notice{padding:11px 15px;border:1px solid var(--line);border-radius:4px;background:linear-gradient(100deg,#f5f8fc,#eef4fb);margin-bottom:14px}#orbit446 .reference-notice h2{font-size:16px;letter-spacing:-.15px;margin:0 0 3px}#orbit446 .reference-notice p{margin:0;font-size:12px}#orbit446 .reference-notice small{display:block;font-size:11px;color:var(--muted);margin-top:3px}
#orbit446 .body-cards{display:grid;grid-template-columns:repeat(4,minmax(0,1fr));gap:12px;margin-bottom:14px}#orbit446 .body-card{height:134px;display:flex;flex-direction:column;align-items:center;justify-content:center;padding:6px 10px;gap:2px;min-width:0;border:1px solid var(--line);color:var(--ink)}#orbit446 .body-card.selected{background:#edf7ff;color:var(--ink);border:2px solid #0768ff;padding:5px 9px}#orbit446 .body-card img{height:84px;width:94px;flex:none;margin:0 auto}#orbit446 .body-card b{font-size:15px;line-height:1.2}#orbit446 .body-card small{font-size:11px;color:var(--muted);line-height:1.3;text-align:center}
#orbit446 .panel{border:1px solid var(--line);border-radius:5px;background:var(--paper);padding:13px;min-width:0}#orbit446 .studio-grid{display:grid;grid-template-columns:minmax(0,.405fr) minmax(0,.595fr);gap:14px;align-items:stretch}#orbit446 .left-column{display:flex;flex-direction:column;gap:12px;min-width:0}#orbit446 .field{display:grid;grid-template-columns:100px minmax(0,1fr);gap:12px;align-items:start;margin:16px 0}#orbit446 .field>label{padding-top:8px}#orbit446 .field .hint{margin:4px 0 0}#orbit446 .unit-pair{display:grid;grid-template-columns:minmax(0,1fr) 122px;gap:10px}#orbit446 .unit-pair select{font-size:12px;padding:6px}#orbit446 .alt-presets{display:flex;gap:8px;flex-wrap:wrap;margin:14px 0 8px}#orbit446 .alt-presets button{font-size:11px;padding:5px 11px;border-color:var(--line)}#orbit446 .advanced{border:1px solid var(--line);border-radius:4px;margin:14px 0;font-size:12px}#orbit446 .advanced summary{cursor:pointer;padding:10px;color:var(--ink)}#orbit446 .advanced>div{padding:0 10px 8px;color:var(--text);font-size:11px}#orbit446 .error:empty{display:none}#orbit446 .error{font-size:12px;color:#af2636;padding:8px;background:#fff1f2;border-radius:4px}#orbit446 .warning{font-size:11px;color:#81530d;background:#fff5df;padding:8px;border:1px solid #efcf91;border-radius:4px}#orbit446 .form-actions,#orbit446 .export-actions{display:grid;grid-template-columns:1fr 1fr;gap:12px;margin-top:12px}#orbit446 .form-actions button{font-size:13px;font-weight:600}#orbit446 .assumptions{flex:1}#orbit446 .assumptions p{font-size:12px}#orbit446 .formulas{display:flex;gap:24px;flex-wrap:wrap;justify-content:center;color:var(--ink);padding:18px 0;font:italic 18px Georgia,serif}#orbit446 .radicand{display:inline-block;border-top:1px solid currentColor;padding:2px 3px 0;margin-left:2px;font-size:15px}
#orbit446 .dynamics{display:flex;flex-direction:column;gap:11px}#orbit446 .dynamics>h2{margin-bottom:0}#orbit446 .result{background:linear-gradient(100deg,var(--result),var(--result-end));border:1px solid var(--result-line);border-radius:4px;text-align:center;color:var(--result-ink);padding:12px 8px}#orbit446 .result>b{font-size:12px;font-weight:700}#orbit446 .result>div{line-height:1.1;margin:5px 0}#orbit446 .result strong{font-size:46px;font-weight:750;letter-spacing:-1px}#orbit446 .result span{font-size:21px;font-weight:700}#orbit446 .result p{font-size:14px;margin:4px 0 0}#orbit446 .metrics{display:grid;grid-template-columns:repeat(3,minmax(0,1fr));gap:10px}#orbit446 .metrics>div{text-align:center;padding:9px 4px;border:1px solid var(--line);border-radius:4px;min-width:0}#orbit446 .metrics b{display:block;font-size:11px;font-weight:500;color:var(--ink)}#orbit446 .metrics strong{display:block;color:var(--ink);font-size:21px;line-height:1.2;margin-top:5px;overflow-wrap:anywhere}#orbit446 .simulator{margin:0;border-radius:4px;background:#020914;overflow:hidden;aspect-ratio:960/550}#orbit446 #orbitCanvas{display:block;width:100%;height:100%}#orbit446 .simulation-controls{display:flex;align-items:center;gap:8px;border:1px solid var(--line);padding:7px;border-radius:4px;font-size:11px;margin-top:-2px;flex-wrap:wrap}#orbit446 .simulation-controls button{padding:7px 12px;min-width:70px;font-size:12px}#orbit446 .simulation-controls label{font-size:10px;font-weight:400}#orbit446 .simulation-controls select{font-size:10px;width:90px;padding:4px;height:29px}#orbit446 .simulation-controls input[type=range]{width:70px;flex:1;padding:0;height:20px;accent-color:#0768ff;border:0;background:transparent;min-width:50px}#orbit446 #orbitCycle{font-size:10px;white-space:nowrap;color:var(--ink)}#orbit446 .sim-note{font-size:10px;margin:0;color:var(--muted)}#orbit446 .export-actions{margin-top:14px}#orbit446 .export-actions button{font-size:14px;font-weight:600;padding:10px}#orbit446 .export-status{font-size:12px;color:var(--muted);min-height:0;margin:4px 0}#orbit446 .export-status:empty{display:none}
#orbit446 .learning-grid{display:grid;grid-template-columns:1.6fr 1fr;gap:14px;margin-top:14px}#orbit446 .learning-grid p{font-size:12px;line-height:1.55}#orbit446 .altitude-explainer-body{display:grid;grid-template-columns:1.15fr 1fr;gap:10px;align-items:center}#orbit446 .altitude-explainer-body svg{width:100%;height:auto;max-height:205px}#orbit446 .worked-example>b{color:var(--ink);font-size:13px}#orbit446 .worked-example small{display:block;font-size:10px;color:var(--muted);line-height:1.4}#orbit446 .kepler{display:grid;grid-template-columns:1fr 1fr;gap:20px;align-items:center;margin-top:14px}#orbit446 .kepler p{font-size:12px;line-height:1.5;max-width:460px}#orbit446 .kepler .hint{font-size:10px}#orbit446 #orbitKepler{display:block;width:100%;height:auto;max-height:160px}#orbit446 .source-grid{display:grid;grid-template-columns:1fr 1fr;gap:14px}#orbit446 .sources,#orbit446 .related{margin-top:18px}#orbit446 .source-grid>a{display:flex;gap:18px;align-items:center;padding:12px 16px;border:1px solid var(--line);border-radius:5px;min-height:83px}#orbit446 .source-grid img{width:90px;height:58px;flex:0 0 90px}#orbit446 .source-grid b{color:var(--ink);font-size:13px;display:block}#orbit446 .source-grid small{display:block;font-size:11px;color:var(--text);margin-top:4px}#orbit446 .related-grid{display:grid;grid-template-columns:repeat(3,minmax(0,1fr));gap:12px}#orbit446 .related-grid>a{display:flex;align-items:center;gap:12px;border:1px solid var(--line);border-radius:5px;padding:12px;min-height:124px;min-width:0}#orbit446 .related-art{position:relative;display:block;width:120px;height:96px;flex:0 0 120px}#orbit446 .related-art>img{width:100%;height:100%;object-fit:contain}#orbit446 .related-art>.related-earth{position:absolute;left:0;top:7px;width:92px;height:85px}#orbit446 .related-art>.related-station{position:absolute;right:-3px;top:7px;width:47px;height:40px}#orbit446 .related-art>svg{position:absolute;inset:0;width:100%;height:100%}#orbit446 .related-grid b{display:block;font-size:14px;line-height:1.25;color:var(--ink)}#orbit446 .related-grid small{display:block;font-size:11px;line-height:1.4;color:var(--text);margin-top:5px}#orbit446 .related-grid em{display:block;font-size:12px;font-style:normal;margin-top:7px;color:var(--blue)}#orbit446 .related-grid>a:hover{background:var(--soft);text-decoration:none;border-color:var(--blue)}#orbit446 .faq{margin-top:16px}#orbit446 .faq details{border:1px solid var(--line);border-radius:4px;margin:8px 0}#orbit446 .faq summary{color:var(--ink);padding:10px 12px;cursor:pointer;font-size:13px}#orbit446 .faq p{font-size:12px;padding:0 12px 10px;margin:0}#orbit446 .sr-only{position:absolute;width:1px;height:1px;overflow:hidden;clip-path:inset(50%);white-space:nowrap}
html:is(.st-master-dark,.st-home-dark,.dark,[data-theme=dark]) #orbit446{--ink:#dcecff;--text:#c1d3eb;--muted:#9fb6d4;--line:#3a5575;--paper:#102235;--soft:#18334d;--blue:#8cbaff;--result:#153e2b;--result-end:#124731;--result-ink:#c6f9da;--result-line:#397558;color-scheme:dark}html:is(.st-master-dark,.st-home-dark,.dark,[data-theme=dark]) #orbit446 .reference-notice{background:linear-gradient(100deg,#152c43,#19334c)}html:is(.st-master-dark,.st-home-dark,.dark,[data-theme=dark]) #orbit446 .body-card.selected{background:#173c60;border-color:#80b5ff}html:is(.st-master-dark,.st-home-dark,.dark,[data-theme=dark]) #orbit446 .error{background:#442535;color:#ffc1c7}html:is(.st-master-dark,.st-home-dark,.dark,[data-theme=dark]) #orbit446 .warning{background:#3f301b;color:#ffe0a3;border-color:#9f7b45}
@media(max-width:1100px){#orbit446 .field{grid-template-columns:80px minmax(0,1fr);gap:8px}#orbit446 .unit-pair{grid-template-columns:minmax(0,1fr) 108px;gap:7px}#orbit446 .related-art{width:95px;flex-basis:95px;height:88px}#orbit446 .related-art>.related-earth{width:78px}#orbit446 .metrics strong{font-size:18px}#orbit446 .simulation-controls{gap:6px}#orbit446 .simulation-controls select{width:82px}}
@media(max-width:820px){#st334Content:has(#orbit446){width:calc(100% - 28px)}#orbit446 .studio-grid{grid-template-columns:1fr}#orbit446 .learning-grid{grid-template-columns:1fr}#orbit446 .field{grid-template-columns:120px minmax(0,1fr)}#orbit446 .unit-pair{grid-template-columns:minmax(0,1fr) 150px}#orbit446 .body-card{height:128px}#orbit446 .body-card img{height:78px}#orbit446 .source-grid{grid-template-columns:1fr 1fr}#orbit446 .source-grid>a{gap:12px;padding:10px}#orbit446 .source-grid img{width:65px;flex-basis:65px}#orbit446 .related-grid{grid-template-columns:1fr}#orbit446 .related-grid>a{min-height:116px;gap:20px}#orbit446 .related-art{width:135px;height:90px;flex-basis:135px}#orbit446 .related-art>.related-earth{width:100px}#orbit446 .related-grid b{font-size:16px}#orbit446 .simulation-controls input[type=range]{min-width:90px}#orbit446 .result strong{font-size:44px}#orbit446 .metrics strong{font-size:22px}}
@media(max-width:540px){#orbit446{font-size:13px}#orbit446 h2{font-size:19px}#orbit446 .intro{font-size:14px}#orbit446 .reference-notice{padding:11px}#orbit446 .reference-notice h2{font-size:15px}#orbit446 .reference-notice p{font-size:11px}#orbit446 .reference-notice small{font-size:10px}#orbit446 .body-cards{grid-template-columns:repeat(2,minmax(0,1fr));gap:9px}#orbit446 .body-card{height:130px}#orbit446 .body-card img{height:80px}#orbit446 .field{grid-template-columns:74px minmax(0,1fr);gap:7px;margin:16px 0}#orbit446 .unit-pair{grid-template-columns:minmax(0,1fr) 113px;gap:6px}#orbit446 .panel{padding:11px}#orbit446 .metrics{gap:6px}#orbit446 .metrics strong{font-size:17px}#orbit446 .metrics b{font-size:10px}#orbit446 .simulation-controls select{width:108px}#orbit446 .simulation-controls input[type=range]{min-width:150px;flex-basis:150px}#orbit446 .simulation-controls label{font-size:11px}#orbit446 .simulation-controls button{min-width:72px}#orbit446 .result span{font-size:18px}#orbit446 .source-grid,#orbit446 .kepler{grid-template-columns:1fr}#orbit446 .kepler{gap:4px}#orbit446 .source-grid>a{padding:13px;gap:18px}#orbit446 .source-grid img{width:80px;flex-basis:80px}#orbit446 .source-grid b{font-size:13px}#orbit446 .altitude-explainer-body{grid-template-columns:1.15fr 1fr}#orbit446 .altitude-explainer-body p{font-size:11px}#orbit446 .export-actions{gap:9px}#orbit446 .export-actions button{font-size:12px;padding:10px 5px}#orbit446 .related-grid>a{padding:12px;gap:14px}#orbit446 .related-art{flex-basis:115px;width:115px}#orbit446 .related-grid b{font-size:15px}}
@media print{#orbit446 .simulation-controls,#orbit446 .form-actions,#orbit446 .export-actions{display:none}}

/* Keep the unmodified official multi-institution mark legible in the dark theme. */
html:is(.st-master-dark,.st-home-dark,.dark,[data-theme=dark]) #orbit446 .source-grid img[src$="jpl.svg"]{background:#fff;border-radius:3px;padding:5px}

/* W447: compact educational diagram alongside the existing FAQ. */
#orbit446 .knowledge-grid{display:grid;grid-template-columns:1fr 1fr;gap:14px;align-items:start;margin-top:14px}
#orbit446 .knowledge-grid>.kepler,#orbit446 .knowledge-grid>.faq{margin-top:0;min-width:0}
#orbit446 .knowledge-grid>.kepler{display:block}
#orbit446 .kepler .kepler-intro{margin:8px 0 0}
#orbit446 .knowledge-grid #orbitKepler{width:100%;height:auto;max-height:280px;margin:4px auto 10px;overflow:visible}
#orbit446 .kepler-takeaway{padding:12px;background:var(--result);border-radius:5px;color:var(--ink);font-size:12px;line-height:1.6}
#orbit446 .kepler .hint{margin-bottom:0;line-height:1.5}
@media(max-width:820px){#orbit446 .knowledge-grid{grid-template-columns:1fr}}